Uniform distribution of sequences involving divisor function
Hassani, Mehdi
Mathematical Communications, Tome 18 (2013) no. 1, p. 11-17 / Harvested from Mathematical Communications
We modify the recent method of J.-M. Deshouillers and H. Iwaniecin the theory of uniform distribution to show that the sequence withgeneral term $a_n=\frac{1}{n}\sum_{m\leq n}\si(m)$ is uniformlydistributed modulo 1. We also study uniform distribution modulo 1of some sequences related by the functions $\si$ and $\f$.
Publié le : 2013-05-04
Classification: 
@article{mc222,
     author = {Hassani, Mehdi},
     title = {Uniform distribution of sequences involving divisor function},
     journal = {Mathematical Communications},
     volume = {18},
     number = {1},
     year = {2013},
     pages = { 11-17},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc222}
}
Hassani, Mehdi. Uniform distribution of sequences involving divisor function. Mathematical Communications, Tome 18 (2013) no. 1, pp.  11-17. http://gdmltest.u-ga.fr/item/mc222/